LCM of 454, 972, 969, 891, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 972, 969, 891, 726 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 454, 972, 969, 891, 726. So, keep reading to learn more.
Given numbers are 454,972,969,891,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,972,969,891,726 is 8623429452.
Find LCM of 454,972,969,891,726 with Prime Factorization
| 2 | 454, 972, 969, 891, 726 |
| 3 | 227, 486, 969, 891, 363 |
| 3 | 227, 162, 323, 297, 121 |
| 3 | 227, 54, 323, 99, 121 |
| 3 | 227, 18, 323, 33, 121 |
| 11 | 227, 6, 323, 11, 121 |
| 227, 6, 323, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 11 x 227 x 6 x 323 x 1 x 11 = 8623429452
Therefore, the lowest common multiple of 454,972,969,891,726 is 8623429452.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
454 x 972 x 969 x 891 x 726 = 276605123102352
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
454 : 1, 2, 227, 454
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
969 : 1, 3, 17, 19, 51, 57, 323, 969
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,972,969,891,726, is 1.
Now, the common factors can be found like this.
454:2x 227
972:2x 2x 3x 3x 3x 3x 3
969:3x 17x 19
891:3x 3x 3x 3x 11
726:2x 3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3x 3x 3x 11 = 32076
Therefore, the value for common factors is 32076.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 276605123102352/(1x32076)
LCM = 276605123102352/32076
LCM = 8623429452
Thus, we can understand that the LCM of 454,972,969,891,726 is 8623429452.
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FAQs on LCM of 454, 972, 969, 891, 726
1. What is the LCM of 454, 972, 969, 891, 726?
Answer: LCM of 454, 972, 969, 891, 726 is 8623429452.
2. How to calculate the LCM of 454, 972, 969, 891, 726?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 454, 972, 969, 891, 726.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.